Question 825055
From the town proper, Eric went to his farm riding on a bicycle at 15 kph.
 Leaving his bicycle behind, he took a bus which runs at 30 kph. 
If he was gone for 6 hours from his hometown, how far from the town was his farm?
:
Assume this means he rode his bike to the farm, and took the bus back to town
let d = dist from town to farm
:
Write a time equation; time = dist/speed
{{{d/15}}} + {{{d/30}}} = 6
Multiply by 30, cancel the denominators
2d + d = 180
3d = 180
d = 180/3
d = 60 mi
:
:
Check by finding the actual times
60/15 = 4 hrs
60/30 = 2 hrs
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total: 6 hrs